Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Uncompetitive inhibitor A at a concentration of 4 mM cuts the K mapp in half for an enzymatic reaction, whereas the Kmapp is one-fourth the Km in the presence of 18 mM uncompetitive inhibitor B. What is the ratio of the K'I for inhibitor A to the K'I for inhibitor B?
A
3/2
B
2/3
C
1/3
D
3
E
1
Verified step by step guidance
1
Understand that uncompetitive inhibition affects both the apparent Michaelis constant (K'm) and the maximum velocity (V'max) of an enzyme-catalyzed reaction. The relationship is given by: K'm = Km / (1 + [I]/K'I), where [I] is the inhibitor concentration and K'I is the inhibition constant.
For inhibitor A, we know that K'm is half of Km at 4 mM concentration. Set up the equation: Km / 2 = Km / (1 + 4/K'I_A). Simplify to find the relationship: 1 + 4/K'I_A = 2.
Solve the equation for K'I_A: 4/K'I_A = 1, which implies K'I_A = 4 mM.
For inhibitor B, K'm is one-fourth of Km at 18 mM concentration. Set up the equation: Km / 4 = Km / (1 + 18/K'I_B). Simplify to find the relationship: 1 + 18/K'I_B = 4.
Solve the equation for K'I_B: 18/K'I_B = 3, which implies K'I_B = 6 mM. Finally, calculate the ratio of K'I_A to K'I_B: K'I_A / K'I_B = 4/6 = 2/3.